A mathematical model of solid-state dewetting of barium thin films on W (112)

Knavel, S. A.; Savina, Tatiana V.; Mroz, M. V.; Kordesch, M. E.; Eads, C. N.; Sadowski, Jerzy T.; Tenney, S. A.

doi:10.1051/mmnp/2019040

Title: A mathematical model of solid-state dewetting of barium thin films on W (112)

Abstract

Solid state dewetting occurs when a thin solid film is heated. The temperature of dewetting depends on the thickness of the film; dewetting can be observed in the range of 1/3 to 1/2 of the bulk melting temperature. While remaining solid, the film behaves in a manner similar to liquids dewetting and agglomerating to forming islands or droplets. One of the possible mechanisms is the conversion of a metastable thin film geometry into a more stable form. Heating the metastable film gives the film atoms higher mobility, and the films retract, dewetting the surface. This atomic motion can be restricted due to surface anisotropy. Herein we present in situ emission microscopy observations of barium thin films deposited ontoW(112) by thermal evaporation. From the modeling viewpoint, the evolution of the film in this system could be divided in four stages: (i) the nucleation and growth of the thin film as a simply connected region; (ii) formation of droplets/islands/hillocks; (iii) nucleation of holes; (iv) evolution of the components of the disconnected film to their equilibrium state. We present a continuum model that is qualitatively consistent with the evolution of the film observed at the initial stage of the experiment and discuss themore »« less

Authors:

Knavel, S. A. ^[1];

^[1]; Mroz, M. V. ^[1]; Kordesch, M. E. ^[1]; Eads, C. N. ^[2];

^[2]; Tenney, S. A. ^[2]

Ohio Univ., Athens, OH (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: 2020-03-06

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); Defense Advanced Research Projects Agency (DARPA)

OSTI Identifier:: 1604619

Report Number(s):: BNL-213714-2020-JAAM
Journal ID: ISSN 0973-5348

Grant/Contract Number:: SC0012704; N66001-16-1-4040

Resource Type:: Accepted Manuscript

Journal Name:: Mathematical Modelling of Natural Phenomena

Additional Journal Information:: Journal Volume: 15; Journal ID: ISSN 0973-5348

Publisher:: EDP Sciences

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Solid-solid thin film dewetting; barium; W(112)

Citation Formats


                    Knavel, S. A., Savina, Tatiana V., Mroz, M. V., Kordesch, M. E., Eads, C. N., Sadowski, Jerzy T., and Tenney, S. A. A mathematical model of solid-state dewetting of barium thin films on W (112).  United States: N. p., 2020. 
Web.  doi:10.1051/mmnp/2019040.

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                    Knavel, S. A., Savina, Tatiana V., Mroz, M. V., Kordesch, M. E., Eads, C. N., Sadowski, Jerzy T., & Tenney, S. A. A mathematical model of solid-state dewetting of barium thin films on W (112).  United States.  https://doi.org/10.1051/mmnp/2019040

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                    Knavel, S. A., Savina, Tatiana V., Mroz, M. V., Kordesch, M. E., Eads, C. N., Sadowski, Jerzy T., and Tenney, S. A. Fri .  
"A mathematical model of solid-state dewetting of barium thin films on W (112)".  United States.  https://doi.org/10.1051/mmnp/2019040.  https://www.osti.gov/servlets/purl/1604619.

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@article{osti_1604619,

  title        = {A mathematical model of solid-state dewetting of barium thin films on W (112)},

  author       = {Knavel, S. A. and Savina, Tatiana V. and Mroz, M. V. and Kordesch, M. E. and Eads, C. N. and Sadowski, Jerzy T. and Tenney, S. A.},

  abstractNote = {Solid state dewetting occurs when a thin solid film is heated. The temperature of dewetting depends on the thickness of the film; dewetting can be observed in the range of 1/3 to 1/2 of the bulk melting temperature. While remaining solid, the film behaves in a manner similar to liquids dewetting and agglomerating to forming islands or droplets. One of the possible mechanisms is the conversion of a metastable thin film geometry into a more stable form. Heating the metastable film gives the film atoms higher mobility, and the films retract, dewetting the surface. This atomic motion can be restricted due to surface anisotropy. Herein we present in situ emission microscopy observations of barium thin films deposited ontoW(112) by thermal evaporation. From the modeling viewpoint, the evolution of the film in this system could be divided in four stages: (i) the nucleation and growth of the thin film as a simply connected region; (ii) formation of droplets/islands/hillocks; (iii) nucleation of holes; (iv) evolution of the components of the disconnected film to their equilibrium state. We present a continuum model that is qualitatively consistent with the evolution of the film observed at the initial stage of the experiment and discuss the later stages of the evolution of surface structures.},

  doi          = {10.1051/mmnp/2019040},

  journal      = {Mathematical Modelling of Natural Phenomena},

  number       = ,

  volume       = 15,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

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Works referenced in this record:

The vapour pressures of barium and strontium
journal, May 1988

Jacob, K. T.; Waseda, Y.
Journal of the Less Common Metals, Vol. 139, Issue 2
DOI: 10.1016/0022-5088(88)90006-9

Sharp interface model for solid-state dewetting problems with weakly anisotropic surface energies
journal, January 2015

Wang, Yan; Jiang, Wei; Bao, Weizhu
Physical Review B, Vol. 91, Issue 4
DOI: 10.1103/PhysRevB.91.045303

Frontiers in Thermionic Cathode Research
journal, June 2018

Kirkwood, David M.; Gross, Steven J.; Balk, Thomas John
IEEE Transactions on Electron Devices, Vol. 65, Issue 6
DOI: 10.1109/TED.2018.2804484

Theory of Thermal Grooving
journal, March 1957

Mullins, W. W.
Journal of Applied Physics, Vol. 28, Issue 3
DOI: 10.1063/1.1722742

Faceting of a growing crystal surface by surface diffusion
journal, February 2003

Savina, T. V.; Golovin, A. A.; Davis, S. H.
Physical Review E, Vol. 67, Issue 2
DOI: 10.1103/PhysRevE.67.021606

Solid-solid dewetting of scandium thin films on the W(100) surface observed using emission microscopy
journal, January 2019

Mroz, Michael V.; Savina, Tatiana; Kordesch, Martin E.
Journal of Vacuum Science & Technology B, Vol. 37, Issue 1
DOI: 10.1116/1.5066015

Kinetics of Instabilities in Solid Films
journal, July 1986

Safran, S. A.; Srolovitz, D. J.
Europhysics Letters (EPL), Vol. 2, Issue 1
DOI: 10.1209/0295-5075/2/1/009

Ba Sc O on W (0 0 1), (1 1 0), and (1 1 2) in scandate cathodes: Connecting to experiment via $μ_{O}$ and equilibrium crystal shape
journal, November 2018

Zhou, Qunfei; Liu, Xiaotao; Maxwell, Tyler
Applied Surface Science, Vol. 458
DOI: 10.1016/j.apsusc.2018.07.060

Thermionic emission microscopy of scandium thin film dewetting on W(100)
journal, June 2018

Mroz, Michael; Tenney, Samuel; Savina, Tatiana
AIP Advances, Vol. 8, Issue 6
DOI: 10.1063/1.5039612

Comparison of the agglomeration behavior of thin metallic films on SiO2
journal, July 2005

Gadkari, P. R.; Warren, A. P.; Todi, R. M.
Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 23, Issue 4
DOI: 10.1116/1.1861943

Work function and surface stability of tungsten-based thermionic electron emission cathodes
journal, November 2017

Jacobs, Ryan; Morgan, Dane; Booske, John
APL Materials, Vol. 5, Issue 11
DOI: 10.1063/1.5006029

Capillary instabilities in thin films
journal, November 1990

Jiran, E.; Thompson, C. V.
Journal of Electronic Materials, Vol. 19, Issue 11
DOI: 10.1007/BF02673327

The mechanism of corner instabilities in single-crystal thin films during dewetting
journal, March 2016

Zucker, Rachel V.; Kim, Gye Hyun; Ye, Jongpil
Journal of Applied Physics, Vol. 119, Issue 12
DOI: 10.1063/1.4944712

Faceting instability in the presence of wetting interactions: A mechanism for the formation of quantum dots
journal, December 2004

Golovin, A. A.; Levine, M. S.; Savina, T. V.
Physical Review B, Vol. 70, Issue 23
DOI: 10.1103/PhysRevB.70.235342

On the solid-state dewetting of polycrystalline thin films: Capillary versus grain growth approach
journal, January 2018

Jacquet, P.; Podor, R.; Ravaux, J.
Acta Materialia, Vol. 143
DOI: 10.1016/j.actamat.2017.08.070

Solid-State Dewetting of Thin Films
journal, August 2012

Thompson, Carl V.
Annual Review of Materials Research, Vol. 42, Issue 1
DOI: 10.1146/annurev-matsci-070511-155048

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Similar Records

Title: A mathematical model of solid-state dewetting of barium thin films on W (112)

Abstract

Citation Formats

The vapour pressures of barium and strontium journal, May 1988

Sharp interface model for solid-state dewetting problems with weakly anisotropic surface energies journal, January 2015

Frontiers in Thermionic Cathode Research journal, June 2018

Theory of Thermal Grooving journal, March 1957

Faceting of a growing crystal surface by surface diffusion journal, February 2003

Solid-solid dewetting of scandium thin films on the W(100) surface observed using emission microscopy journal, January 2019

Kinetics of Instabilities in Solid Films journal, July 1986

Ba Sc O on W (0 0 1), (1 1 0), and (1 1 2) in scandate cathodes: Connecting to experiment via μ O and equilibrium crystal shape journal, November 2018

Thermionic emission microscopy of scandium thin film dewetting on W(100) journal, June 2018

Comparison of the agglomeration behavior of thin metallic films on SiO2 journal, July 2005

Work function and surface stability of tungsten-based thermionic electron emission cathodes journal, November 2017

Capillary instabilities in thin films journal, November 1990

The mechanism of corner instabilities in single-crystal thin films during dewetting journal, March 2016

Faceting instability in the presence of wetting interactions: A mechanism for the formation of quantum dots journal, December 2004

On the solid-state dewetting of polycrystalline thin films: Capillary versus grain growth approach journal, January 2018

Solid-State Dewetting of Thin Films journal, August 2012

The vapour pressures of barium and strontium
journal, May 1988

Sharp interface model for solid-state dewetting problems with weakly anisotropic surface energies
journal, January 2015

Frontiers in Thermionic Cathode Research
journal, June 2018

Theory of Thermal Grooving
journal, March 1957

Faceting of a growing crystal surface by surface diffusion
journal, February 2003

Solid-solid dewetting of scandium thin films on the W(100) surface observed using emission microscopy
journal, January 2019

Kinetics of Instabilities in Solid Films
journal, July 1986

Ba Sc O on W (0 0 1), (1 1 0), and (1 1 2) in scandate cathodes: Connecting to experiment via $μ_{O}$ and equilibrium crystal shape
journal, November 2018

Thermionic emission microscopy of scandium thin film dewetting on W(100)
journal, June 2018

Comparison of the agglomeration behavior of thin metallic films on SiO2
journal, July 2005

Work function and surface stability of tungsten-based thermionic electron emission cathodes
journal, November 2017

Capillary instabilities in thin films
journal, November 1990

The mechanism of corner instabilities in single-crystal thin films during dewetting
journal, March 2016

Faceting instability in the presence of wetting interactions: A mechanism for the formation of quantum dots
journal, December 2004

On the solid-state dewetting of polycrystalline thin films: Capillary versus grain growth approach
journal, January 2018

Solid-State Dewetting of Thin Films
journal, August 2012